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I personally think we could do it. We have bombs more than capable of shifting these rocks. The danger there is how these rock break apart. Also (if we had the time, you're right there - no way we know where every single rock out there is headed in the near future.) scientists calculate (using newtons laws, which are proven) that the gravity of a probe of certain mass could swing an asteroid away over time and onto a pre-calculated orbit which may still hit us a million years down the track, but what do you do?
I reckon we could do it - we have rendevoused with rocks before, and i think the only thing holding Mars away from us is human exposure to radiation. They could proberly build a servicable ship now if they really wanted to.
What scares me is nobody in power wants to prepare for this, if they leave it too long, you may well be proven right.
cheers
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